Problem 940

Solve

2^x = 64.

 

Solution:- 

 

First, write each side of the equation with the same base.

2^x  = 64

2^x = 2⁶

Apply the one-to-one property of exponential functions, which states that for b>0 and b≠ 1, if b^x = bⁿ, then x = n.

By the one-to-one property of exponential function, since 2^x =2⁶, x = 6.

The solution is x= 6.